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Works cited by this work

29 works

Work: On the Hirota equation with a self-consistent source

  1. Exact Theory of Two-dimensional Self-focusing and One-dimensional Self-modulation of Waves in Nonlinear Media

    В. Е. Захаров, A. B. Shabat

    Article197030 citations
    ABI

  2. Integration of the nonlinear Schroedinger equation with a self-consistent source

    V. K. Mel’nikov

    Article199121 citations
    ABI

  3. Solitons and the Inverse Scattering Transform

    Mark J. Ablowitz, Harvey Segur

    Book198121 citations
    ABI

  4. Hamiltonian Methods in the Theory of Solitons

    L. D. Faddeev, Leon A. Takhtajan

    Book198717 citations
    ABI

  5. Cauchy problem for the nonlinear Hirota equation in the class of periodic infinite-zone functions

    G. Mannonov, А. Б. Хасанов

    ArticleNonlinear Waves and SolitonsSt Petersburg Mathematical Journal202316 citations
    ABI

  6. Exact envelope-soliton solutions of a nonlinear wave equation

    Ryogo Hirota

    Article197314 citations
    ABI

  7. On the sine-Gordon equation with a self-consistent source

    А. Б. Хасанов, G. U. Urazboev

    ArticleNonlinear Waves and SolitonsSiberian Advances in Mathematics200914 citations
    ABI

  8. The Modified Korteweg-de Vries Equation

    Miki Wadati

    Article197311 citations
    ABI

  9. Integration of a Nonlinear Hirota Type Equation with Finite Density in the Class of Periodic Functions

    А. Б. Хасанов, Raykhonbek Khubaydullo ugli Eshbekov, Kh. N. Normurodov

    ArticleNonlinear Waves and SolitonsLobachevskii Journal of Mathematics202310 citations
    ABI

  10. Multisolitons, breathers, and rogue waves for the Hirota equation generated by the Darboux transformation

    Yongsheng Tao, Jingsong He

    Article20126 citations
    ABI

  11. Integration of the Hirota equation with time-dependent coefficients

    U. A. Hoitmetov

    ArticleNonlinear Waves and SolitonsTheoretical and Mathematical Physics20234 citations
    ABI

  12. Rogue waves and rational solutions of the Hirota equation

    Adrian Ankiewicz, J. M. Soto‐Crespo, Nail Akhmediev

    Article20104 citations
    ABI

  13. The Hirota equation: Darboux transform of the Riemann–Hilbert problem and higher-order rogue waves

    Shuyan Chen, Zhenya Yan

    Article20194 citations
    ABI

  14. Untitled

    Other3 citations
    ABI

  15. The Inverse Scattering Transform for the Defocusing Nonlinear Schrödinger Equations with Nonzero Boundary Conditions

    Francesco Demontis, B. Prinari, Cornelis van der Mee +1

    Article20123 citations
    ABI

  16. Multiple-Pole Solutions of the Modified Korteweg-de Vries Equation

    Miki Wadati, Kenji Ohkuma

    Article19823 citations
    ABI

  17. Scattering of Solitons of Modified KdV Equation with Self-consistent Sources

    Da‐jun Zhang, Hua Wu

    Article20083 citations
    ABI

  18. INTEGRATION OF THE NONLINEAR SCHR\"{O}DINGER EQUATION WITH A SELF-CONSISTENT SOURCE AND NONZERO BOUNDARY CONDITIONS

    Anvar Reyimberganov

    ArticleNonlinear Photonic SystemsInternational Journal of Apllied Mathematics20233 citations
    ABI

  19. Dark soliton solutions of the defocusing Hirota equation by the binary Darboux transformation

    Hai-Qiang Zhang, Shasha Yuan

    Article20172 citations
    ABI

  20. High-order rogue-wave of the inhomogeneous nonlinear Hirota equation with a self-consistent source

    Yuqin Yao, Yehui Huang

    Article20192 citations
    ABI

  21. Focusing and defocusing Hirota equations with non-zero boundary conditions: Inverse scattering transforms and soliton solutions

    Guoqiang Zhang, Shuyan Chen, Zhenya Yan

    Article20192 citations
    ABI

  22. Characteristics of rogue waves on a periodic background for the Hirota equation

    Wei‐Qi Peng, Shou‐Fu Tian, Xiu‐Bin Wang +1

    Article20192 citations
    ABI

  23. Inverse Scattering Transform and Soliton Solutions for the Hirota Equation with $N$ Distinct Arbitrary Order Poles

    Xiaofan Zhang, Shou-Fu Tian null, Jinjie Yang

    Article20222 citations
    ABI

  24. Conservation Laws of the Defocusing Hirota Equation under Non-Zero Background

    庆 许

    Article20192 citations
    ABI

  25. The $${\bar{\partial }}$$-dressing method applied to nonlinear defocusing Hirota equation with nonzero boundary conditions

    Yehui Huang, Jingjing Di, Yuqin Yao

    Article20222 citations
    ABI